Download Spring 2011 Test 2

Test 2
MAT 1111
Spring 2011
Name______________________________
Simplify all answers and show your work!
1) Find the slope of the given lines.
4
a) 3x – 5y = 12
b) y = − x + 7
9
c) Passing through (–1, –6) and (4, –2).
d) 3x = 7y – 2
2) Find the equation of the line having the following properties.
7
a) m = − , passing through (–2, 5)
b) Passing through (2, –5) and (7, –2)
4
c) m =
2
, passing through (0, 4)
5
3) Given 5x − 2 > 4 , solve the inequality and
a) Graph the solution on a number line
b) Write the answer in interval notation
d) Parallel to 3x + 4y = 17 and passing through (–1, 8)
4) Graph the equation of the line: 4x – 5y = –20
5) If f(x) = 6x – 11 and g(x) = 2 – 7x , find the following:
a) f(4)
b) f(0)
c) g(–5)
d) g(3x – 5)
6) Find the domain of each of the following functions:
c) f(x) = 6.2x – 8.1
7) Graph the line: f(x) =
b) f ( x ) = x − 6
3
x−4
2
9) Solve the absolute value for x: 6x − 1 = 7
a) f ( x ) =
8) Solve for x:
−3
x+2
2x x + 6
−
=4
9
3
10) Find the y-intercept point of the given lines.
a) 4y = 3x – 16
________________
6
x−2
11
________________
c) 6x – 3y = 15
________________
b) y = −